155577811968 has 220 divisors, whose sum is σ = 470486410240. Its totient is φ = 51200667648.

The previous prime is 155577811937. The next prime is 155577811969. The reversal of 155577811968 is 869118775551.

155577811968 is a `hidden beast` number, since 1 + 5 + 557 + 7 + 8 + 1 + 19 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (155577811969) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6540705 + ... + 6564447.

It is an arithmetic number, because the mean of its divisors is an integer number (2138574592).

Almost surely, 2^155577811968 is an apocalyptic number.

155577811968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155577811968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235243205120).

155577811968 is an abundant number, since it is smaller than the sum of its proper divisors (314908598272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

155577811968 is an equidigital number, since it uses as much as digits as its factorization.

155577811968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23854 (or 23827 counting only the distinct ones).

The product of its digits is 21168000, while the sum is 63.

The spelling of 155577811968 in words is "one hundred fifty-five billion, five hundred seventy-seven million, eight hundred eleven thousand, nine hundred sixty-eight".